IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems

2020 ◽  
Author(s):  
D. Rezgui ◽  
M. H. Lowenberg

This article presents a systematic assessment of the use of numerical continuation and bifurcation techniques in investigating the nonlinear periodic behaviour of a teetering rotor operating in forward autorotation. The aim is to illustrate the potential of these tools in revealing complex blade dynamics, when used in combination (not necessarily at the same time) with physical testing. We show a simple procedure to promote understanding of an existing but not fully understood engineering instability problem, when uncertainties in the numerical modelling and constraints in the experimental testing are present. It is proposed that continuation and bifurcation methods can play a significant role in developing numerical and experimental techniques for studying the nonlinear dynamics not only for rotating blades but also for other engineering systems with uncertainties and constraints.


2021 ◽  
Vol 15 (6) ◽  
pp. 46
Author(s):  
Deok-soo Cha ◽  
Kyoung-il Kim

There are many nonlinear dynamics in field of non-physical sciences, such as the food chain, economic systems, or engineering systems with the characteristics of closed or open-loop systems. The problems arising from this have been resolved by the outdated chaos theory in statistical physics based on the paradigm of logical thinking. However, it was founded by classical physicists, and it is imperfect and vague, moreover, very difficult for others. Therefore, we require a perfect systematic solution based on systems thinking, such as systems analytical methods in engineering science. Surprisingly, in 2021, a non-physicist, on behalf of a physicist, has successfully resolved the problems and achieved a new solution based on systems thinking through interdisciplinary research; moreover, it has been published. Unfortunately, most physicists do not welcome it because they have no experience and it is disadvantageous to them like the Copernican theory. In addition, they have no ability to evaluate the new solution because they do not know the analytic method. Nevertheless, non-physicists are greatly welcome it, thus, there is no problem in it. Hence, non-physicists will verify it using MATLAB or simulator and apply it to all science, on behalf of physicists. If so, non-physicists will have both a logical solution and a systematic solution for resolving nonlinear dynamics.


2015 ◽  
Author(s):  
José Manoel Balthazar ◽  
Reyolando M.F.L. Brasil ◽  
Jorge L.P. Felix ◽  
Angelo M. Tusset ◽  
Vinícius Piccirillo ◽  
...  

2000 ◽  
Vol 11 (15) ◽  
pp. 2413-2428 ◽  
Author(s):  
Jenny Jerrelind ◽  
Annika Stensson

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